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Finding the Third Proportional to 64.86 and 98.40

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Solution

The third proportional to 64.86 and 98.40 is: 149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 98.40 = 98.40 : x
  2. Step 2: Convert to fraction form
    64.86/98.40 = 98.40/x
  3. Step 3: Cross multiply
    64.86x = 98.40 × 98.40
  4. Step 4: Simplify right side
    64.86x = 9,683.02
  5. Step 5: Solve for x
    x = 9,683.02/64.86
  6. Step 6: Final answer
    x = 149.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.